Write the given third order linear equation as an equivalent system of first order equations with initial values.

with initial values

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Use x₁ = y, x₂ = y', and x3 =y". 18 with (t - 2t²) y' - 4y" = -2t y(3) = -2, y' (3) = 2, y" (3) = -3 18 18 Use x₁ = y, x₂ = y', and x3 =y". 18 with (t - 2t²) y' - 4y" = -2t y(3) = -2, y' (3) = 2, y" (3) = -3 18 18

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